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- Title
Recent Developments of the Lauricella String Scattering Amplitudes and Their Exact SL (K + 3, C) Symmetry.
- Authors
Lai, Sheng-Hong; Lee, Jen-Chi; Yang, Yi; Andrianopoli, Laura
- Abstract
In this review, we propose a new perspective to demonstrate the Gross conjecture regarding the high-energy symmetry of string theory. We review the construction of the exact string scattering amplitudes (SSAs) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26 D open bosonic string theory. These LSSAs form an infinite dimensional representation of the S L (K + 3 , C) group. Moreover, we show that the S L (K + 3 , C) group can be used to solve all the LSSAs and express them in terms of one amplitude. As an application in the hard scattering limit, the LSSA can be used to directly prove the Gross conjecture, which was previously corrected and proved by the method of the decoupling of zero norm states (ZNS). Finally, the exact LSSA can be used to rederive the recurrence relations of SSA in the Regge scattering limit with associated S L (5 , C) symmetry and the extended recurrence relations (including the mass and spin dependent string BCJ relations) in the nonrelativistic scattering limit with the associated S L (4 , C) symmetry discovered recently.
- Subjects
SCATTERING amplitude (Physics); SCATTERING (Mathematics); STRING theory; SYMMETRY; TACHYONS
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 3, p454
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13030454